TSTP Solution File: SWC083-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC083-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AwNnX7Sp46 true
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:29:01 EDT 2023
% Result : Unsatisfiable 8.35s 1.95s
% Output : Refutation 8.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC083-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AwNnX7Sp46 true
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 28 14:29:28 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.22/0.61 % Total configuration time : 435
% 0.22/0.61 % Estimated wc time : 1092
% 0.22/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 8.35/1.95 % Solved by fo/fo13.sh.
% 8.35/1.95 % done 944 iterations in 1.211s
% 8.35/1.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.35/1.95 % SZS output start Refutation
% 8.35/1.95 thf(nil_type, type, nil: $i).
% 8.35/1.95 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 8.35/1.95 thf(sk2_type, type, sk2: $i).
% 8.35/1.95 thf(sk7_type, type, sk7: $i).
% 8.35/1.95 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 8.35/1.95 thf(sk5_type, type, sk5: $i).
% 8.35/1.95 thf(sk4_type, type, sk4: $i).
% 8.35/1.95 thf(skaf46_type, type, skaf46: $i > $i > $i).
% 8.35/1.95 thf(rearsegP_type, type, rearsegP: $i > $i > $o).
% 8.35/1.95 thf(sk3_type, type, sk3: $i).
% 8.35/1.95 thf(neq_type, type, neq: $i > $i > $o).
% 8.35/1.95 thf(app_type, type, app: $i > $i > $i).
% 8.35/1.95 thf(ssList_type, type, ssList: $i > $o).
% 8.35/1.95 thf(sk6_type, type, sk6: $i).
% 8.35/1.95 thf(sk1_type, type, sk1: $i).
% 8.35/1.95 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 8.35/1.95 thf(clause85, axiom,
% 8.35/1.95 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 8.35/1.95 thf(zip_derived_cl84, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause85])).
% 8.35/1.95 thf(co1_12, conjecture, (( app @ ( app @ sk5 @ sk6 ) @ sk7 ) != ( sk3 ))).
% 8.35/1.95 thf(zf_stmt_0, negated_conjecture,
% 8.35/1.95 (( app @ ( app @ sk5 @ sk6 ) @ sk7 ) = ( sk3 )),
% 8.35/1.95 inference('cnf.neg', [status(esa)], [co1_12])).
% 8.35/1.95 thf(zip_derived_cl196, plain, (((app @ (app @ sk5 @ sk6) @ sk7) = (sk3))),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.35/1.95 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 8.35/1.95 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 8.35/1.95 inference('cnf.neg', [status(esa)], [co1_6])).
% 8.35/1.95 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.35/1.95 thf(zip_derived_cl199, plain, (((app @ (app @ sk5 @ sk6) @ sk7) = (sk1))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl190])).
% 8.35/1.95 thf(clause143, axiom,
% 8.35/1.95 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ U ) ) |
% 8.35/1.95 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( rearsegP @ W @ V ))).
% 8.35/1.95 thf(zip_derived_cl142, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.35/1.95 (((app @ X1 @ X2) != (X0))
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X2)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (rearsegP @ X0 @ X2))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause143])).
% 8.35/1.95 thf(zip_derived_cl480, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (((sk1) != (X0))
% 8.35/1.95 | ~ (ssList @ (app @ sk5 @ sk6))
% 8.35/1.95 | ~ (ssList @ sk7)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (rearsegP @ X0 @ sk7))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl199, zip_derived_cl142])).
% 8.35/1.95 thf(co1_11, conjecture, (~( ssList @ sk7 ))).
% 8.35/1.95 thf(zf_stmt_2, negated_conjecture, (ssList @ sk7),
% 8.35/1.95 inference('cnf.neg', [status(esa)], [co1_11])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl488, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (((sk1) != (X0))
% 8.35/1.95 | ~ (ssList @ (app @ sk5 @ sk6))
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (rearsegP @ X0 @ sk7))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl480, zip_derived_cl195])).
% 8.35/1.95 thf(zip_derived_cl494, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (ssList @ sk5)
% 8.35/1.95 | ~ (ssList @ sk6)
% 8.35/1.95 | ((sk1) != (X0))
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (rearsegP @ X0 @ sk7))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl488])).
% 8.35/1.95 thf(co1_9, conjecture, (~( ssList @ sk5 ))).
% 8.35/1.95 thf(zf_stmt_3, negated_conjecture, (ssList @ sk5),
% 8.35/1.95 inference('cnf.neg', [status(esa)], [co1_9])).
% 8.35/1.95 thf(zip_derived_cl193, plain, ( (ssList @ sk5)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.35/1.95 thf(co1_10, conjecture, (~( ssList @ sk6 ))).
% 8.35/1.95 thf(zf_stmt_4, negated_conjecture, (ssList @ sk6),
% 8.35/1.95 inference('cnf.neg', [status(esa)], [co1_10])).
% 8.35/1.95 thf(zip_derived_cl194, plain, ( (ssList @ sk6)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.35/1.95 thf(zip_derived_cl495, plain,
% 8.35/1.95 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (rearsegP @ X0 @ sk7))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl494, zip_derived_cl193, zip_derived_cl194])).
% 8.35/1.95 thf(zip_derived_cl516, plain, (( (rearsegP @ sk1 @ sk7) | ~ (ssList @ sk1))),
% 8.35/1.95 inference('eq_res', [status(thm)], [zip_derived_cl495])).
% 8.35/1.95 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 8.35/1.95 thf(zf_stmt_5, negated_conjecture, (ssList @ sk1),
% 8.35/1.95 inference('cnf.neg', [status(esa)], [co1_1])).
% 8.35/1.95 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.35/1.95 thf(zip_derived_cl517, plain, ( (rearsegP @ sk1 @ sk7)),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl516, zip_derived_cl185])).
% 8.35/1.95 thf(clause131, axiom,
% 8.35/1.95 (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 8.35/1.95 ( ( app @ ( skaf46 @ U @ V ) @ V ) = ( U ) ))).
% 8.35/1.95 thf(zip_derived_cl130, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (~ (rearsegP @ X0 @ X1)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause131])).
% 8.35/1.95 thf(zip_derived_cl749, plain,
% 8.35/1.95 ((~ (ssList @ sk7)
% 8.35/1.95 | ~ (ssList @ sk1)
% 8.35/1.95 | ((app @ (skaf46 @ sk1 @ sk7) @ sk7) = (sk1)))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl130])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.35/1.95 thf(zip_derived_cl757, plain, (((app @ (skaf46 @ sk1 @ sk7) @ sk7) = (sk1))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl749, zip_derived_cl195, zip_derived_cl185])).
% 8.35/1.95 thf(zip_derived_cl84, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause85])).
% 8.35/1.95 thf(zip_derived_cl199, plain, (((app @ (app @ sk5 @ sk6) @ sk7) = (sk1))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl190])).
% 8.35/1.95 thf(clause151, axiom,
% 8.35/1.95 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 8.35/1.95 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 8.35/1.95 thf(zip_derived_cl150, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.35/1.95 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 8.35/1.95 | ~ (ssList @ X2)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ((X2) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause151])).
% 8.35/1.95 thf(zip_derived_cl564, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (((sk1) != (app @ X0 @ sk7))
% 8.35/1.95 | ~ (ssList @ (app @ sk5 @ sk6))
% 8.35/1.95 | ~ (ssList @ sk7)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ((app @ sk5 @ sk6) = (X0)))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl199, zip_derived_cl150])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl580, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (((sk1) != (app @ X0 @ sk7))
% 8.35/1.95 | ~ (ssList @ (app @ sk5 @ sk6))
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ((app @ sk5 @ sk6) = (X0)))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl564, zip_derived_cl195])).
% 8.35/1.95 thf(zip_derived_cl608, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (ssList @ sk5)
% 8.35/1.95 | ~ (ssList @ sk6)
% 8.35/1.95 | ((sk1) != (app @ X0 @ sk7))
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ((app @ sk5 @ sk6) = (X0)))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl580])).
% 8.35/1.95 thf(zip_derived_cl193, plain, ( (ssList @ sk5)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.35/1.95 thf(zip_derived_cl194, plain, ( (ssList @ sk6)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.35/1.95 thf(zip_derived_cl609, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (((sk1) != (app @ X0 @ sk7))
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ((app @ sk5 @ sk6) = (X0)))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl608, zip_derived_cl193, zip_derived_cl194])).
% 8.35/1.95 thf(zip_derived_cl884, plain,
% 8.35/1.95 ((((sk1) != (sk1))
% 8.35/1.95 | ~ (ssList @ (skaf46 @ sk1 @ sk7))
% 8.35/1.95 | ((app @ sk5 @ sk6) = (skaf46 @ sk1 @ sk7)))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl757, zip_derived_cl609])).
% 8.35/1.95 thf(clause50, axiom, (ssList @ ( skaf46 @ U @ V ))).
% 8.35/1.95 thf(zip_derived_cl49, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause50])).
% 8.35/1.95 thf(zip_derived_cl898, plain,
% 8.35/1.95 ((((sk1) != (sk1)) | ((app @ sk5 @ sk6) = (skaf46 @ sk1 @ sk7)))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl884, zip_derived_cl49])).
% 8.35/1.95 thf(zip_derived_cl899, plain, (((app @ sk5 @ sk6) = (skaf46 @ sk1 @ sk7))),
% 8.35/1.95 inference('simplify', [status(thm)], [zip_derived_cl898])).
% 8.35/1.95 thf(clause100, axiom,
% 8.35/1.95 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 8.35/1.95 ( ( V ) = ( U ) ))).
% 8.35/1.95 thf(zip_derived_cl99, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause100])).
% 8.35/1.95 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 8.35/1.95 thf(zip_derived_cl72, plain,
% 8.35/1.95 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause73])).
% 8.35/1.95 thf(zip_derived_cl199, plain, (((app @ (app @ sk5 @ sk6) @ sk7) = (sk1))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl190])).
% 8.35/1.95 thf(clause173, axiom,
% 8.35/1.95 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 8.35/1.95 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 8.35/1.95 ( segmentP @ X @ V ))).
% 8.35/1.95 thf(zip_derived_cl172, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.95 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 8.35/1.95 | ~ (ssList @ X3)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X2)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ X2))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause173])).
% 8.35/1.95 thf(zip_derived_cl2899, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (((app @ sk1 @ X1) != (X0))
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ (app @ sk5 @ sk6))
% 8.35/1.95 | ~ (ssList @ sk7)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ sk7))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl199, zip_derived_cl172])).
% 8.35/1.95 thf(zip_derived_cl899, plain, (((app @ sk5 @ sk6) = (skaf46 @ sk1 @ sk7))),
% 8.35/1.95 inference('simplify', [status(thm)], [zip_derived_cl898])).
% 8.35/1.95 thf(zip_derived_cl49, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause50])).
% 8.35/1.95 thf(zip_derived_cl930, plain, ( (ssList @ (app @ sk5 @ sk6))),
% 8.35/1.95 inference('s_sup+', [status(thm)], [zip_derived_cl899, zip_derived_cl49])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl2930, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (((app @ sk1 @ X1) != (X0))
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ sk7))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl2899, zip_derived_cl930, zip_derived_cl195])).
% 8.35/1.95 thf(zip_derived_cl4485, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (ssList @ sk1)
% 8.35/1.95 | ((sk1) != (X0))
% 8.35/1.95 | ~ (ssList @ nil)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ sk7))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl2930])).
% 8.35/1.95 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.35/1.95 thf(clause8, axiom, (ssList @ nil)).
% 8.35/1.95 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.35/1.95 inference('cnf', [status(esa)], [clause8])).
% 8.35/1.95 thf(zip_derived_cl4488, plain,
% 8.35/1.95 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (segmentP @ X0 @ sk7))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl4485, zip_derived_cl185, zip_derived_cl7])).
% 8.35/1.95 thf(zip_derived_cl4490, plain,
% 8.35/1.95 (( (segmentP @ sk1 @ sk7) | ~ (ssList @ sk1))),
% 8.35/1.95 inference('eq_res', [status(thm)], [zip_derived_cl4488])).
% 8.35/1.95 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.35/1.95 thf(zip_derived_cl4491, plain, ( (segmentP @ sk1 @ sk7)),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl4490, zip_derived_cl185])).
% 8.35/1.95 thf(co1_8, conjecture,
% 8.35/1.95 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 8.35/1.95 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) ))).
% 8.35/1.95 thf(zf_stmt_6, negated_conjecture,
% 8.35/1.95 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 8.35/1.95 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) )),
% 8.35/1.95 inference('cnf.neg', [status(esa)], [co1_8])).
% 8.35/1.95 thf(zip_derived_cl192, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (segmentP @ sk1 @ X0)
% 8.35/1.95 | ~ (segmentP @ sk2 @ X0)
% 8.35/1.95 | ~ (neq @ X0 @ nil)
% 8.35/1.95 | ~ (ssList @ X0))),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.35/1.95 thf(zip_derived_cl4496, plain,
% 8.35/1.95 ((~ (segmentP @ sk2 @ sk7) | ~ (neq @ sk7 @ nil) | ~ (ssList @ sk7))),
% 8.35/1.95 inference('s_sup-', [status(thm)],
% 8.35/1.95 [zip_derived_cl4491, zip_derived_cl192])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl4501, plain,
% 8.35/1.95 ((~ (segmentP @ sk2 @ sk7) | ~ (neq @ sk7 @ nil))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl4496, zip_derived_cl195])).
% 8.35/1.95 thf(zip_derived_cl72, plain,
% 8.35/1.95 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause73])).
% 8.35/1.95 thf(co1_13, conjecture, (( app @ sk5 @ sk7 ) != ( sk4 ))).
% 8.35/1.95 thf(zf_stmt_7, negated_conjecture, (( app @ sk5 @ sk7 ) = ( sk4 )),
% 8.35/1.95 inference('cnf.neg', [status(esa)], [co1_13])).
% 8.35/1.95 thf(zip_derived_cl197, plain, (((app @ sk5 @ sk7) = (sk4))),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.35/1.95 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 8.35/1.95 thf(zf_stmt_8, negated_conjecture, (( sk2 ) = ( sk4 )),
% 8.35/1.95 inference('cnf.neg', [status(esa)], [co1_5])).
% 8.35/1.95 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_8])).
% 8.35/1.95 thf(zip_derived_cl198, plain, (((app @ sk5 @ sk7) = (sk2))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl189])).
% 8.35/1.95 thf(zip_derived_cl172, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.95 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 8.35/1.95 | ~ (ssList @ X3)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X2)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ X2))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause173])).
% 8.35/1.95 thf(zip_derived_cl2907, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (((app @ sk2 @ X1) != (X0))
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ sk5)
% 8.35/1.95 | ~ (ssList @ sk7)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ sk7))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl198, zip_derived_cl172])).
% 8.35/1.95 thf(zip_derived_cl193, plain, ( (ssList @ sk5)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl2938, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (((app @ sk2 @ X1) != (X0))
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ sk7))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl2907, zip_derived_cl193, zip_derived_cl195])).
% 8.35/1.95 thf(zip_derived_cl4610, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (ssList @ sk2)
% 8.35/1.95 | ((sk2) != (X0))
% 8.35/1.95 | ~ (ssList @ nil)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ sk7))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl2938])).
% 8.35/1.95 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 8.35/1.95 thf(zf_stmt_9, negated_conjecture, (ssList @ sk2),
% 8.35/1.95 inference('cnf.neg', [status(esa)], [co1_2])).
% 8.35/1.95 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.35/1.95 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.35/1.95 inference('cnf', [status(esa)], [clause8])).
% 8.35/1.95 thf(zip_derived_cl4613, plain,
% 8.35/1.95 (![X0 : $i]: (((sk2) != (X0)) | ~ (ssList @ X0) | (segmentP @ X0 @ sk7))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl4610, zip_derived_cl186, zip_derived_cl7])).
% 8.35/1.95 thf(zip_derived_cl4615, plain,
% 8.35/1.95 (( (segmentP @ sk2 @ sk7) | ~ (ssList @ sk2))),
% 8.35/1.95 inference('eq_res', [status(thm)], [zip_derived_cl4613])).
% 8.35/1.95 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.35/1.95 thf(zip_derived_cl4616, plain, ( (segmentP @ sk2 @ sk7)),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl4615, zip_derived_cl186])).
% 8.35/1.95 thf(zip_derived_cl4617, plain, (~ (neq @ sk7 @ nil)),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl4501, zip_derived_cl4616])).
% 8.35/1.95 thf(zip_derived_cl4626, plain,
% 8.35/1.95 ((((sk7) = (nil)) | ~ (ssList @ sk7) | ~ (ssList @ nil))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl4617])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.35/1.95 inference('cnf', [status(esa)], [clause8])).
% 8.35/1.95 thf(zip_derived_cl4628, plain, (((sk7) = (nil))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl4626, zip_derived_cl195, zip_derived_cl7])).
% 8.35/1.95 thf(clause58, axiom, (( ~( ssList @ U ) ) | ( rearsegP @ U @ nil ))).
% 8.35/1.95 thf(zip_derived_cl57, plain,
% 8.35/1.95 (![X0 : $i]: (~ (ssList @ X0) | (rearsegP @ X0 @ nil))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause58])).
% 8.35/1.95 thf(zip_derived_cl517, plain, ( (rearsegP @ sk1 @ sk7)),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl516, zip_derived_cl185])).
% 8.35/1.95 thf(clause153, axiom,
% 8.35/1.95 (( ~( rearsegP @ U @ V ) ) | ( ~( rearsegP @ V @ W ) ) |
% 8.35/1.95 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 8.35/1.95 ( rearsegP @ U @ W ))).
% 8.35/1.95 thf(zip_derived_cl152, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.35/1.95 (~ (rearsegP @ X0 @ X1)
% 8.35/1.95 | ~ (rearsegP @ X1 @ X2)
% 8.35/1.95 | ~ (ssList @ X2)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (rearsegP @ X0 @ X2))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause153])).
% 8.35/1.95 thf(zip_derived_cl677, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (rearsegP @ sk7 @ X0)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ~ (ssList @ sk7)
% 8.35/1.95 | ~ (ssList @ sk1)
% 8.35/1.95 | (rearsegP @ sk1 @ X0))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl152])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.35/1.95 thf(zip_derived_cl683, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (rearsegP @ sk7 @ X0) | ~ (ssList @ X0) | (rearsegP @ sk1 @ X0))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl677, zip_derived_cl195, zip_derived_cl185])).
% 8.35/1.95 thf(zip_derived_cl686, plain,
% 8.35/1.95 ((~ (ssList @ sk7) | ~ (ssList @ nil) | (rearsegP @ sk1 @ nil))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl683])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.35/1.95 inference('cnf', [status(esa)], [clause8])).
% 8.35/1.95 thf(zip_derived_cl688, plain, ( (rearsegP @ sk1 @ nil)),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl686, zip_derived_cl195, zip_derived_cl7])).
% 8.35/1.95 thf(zip_derived_cl130, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (~ (rearsegP @ X0 @ X1)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause131])).
% 8.35/1.95 thf(zip_derived_cl748, plain,
% 8.35/1.95 ((~ (ssList @ nil)
% 8.35/1.95 | ~ (ssList @ sk1)
% 8.35/1.95 | ((app @ (skaf46 @ sk1 @ nil) @ nil) = (sk1)))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl688, zip_derived_cl130])).
% 8.35/1.95 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.35/1.95 inference('cnf', [status(esa)], [clause8])).
% 8.35/1.95 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.35/1.95 thf(zip_derived_cl756, plain, (((app @ (skaf46 @ sk1 @ nil) @ nil) = (sk1))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl748, zip_derived_cl7, zip_derived_cl185])).
% 8.35/1.95 thf(zip_derived_cl72, plain,
% 8.35/1.95 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause73])).
% 8.35/1.95 thf(zip_derived_cl807, plain,
% 8.35/1.95 ((~ (ssList @ (skaf46 @ sk1 @ nil)) | ((sk1) = (skaf46 @ sk1 @ nil)))),
% 8.35/1.95 inference('s_sup+', [status(thm)], [zip_derived_cl756, zip_derived_cl72])).
% 8.35/1.95 thf(zip_derived_cl49, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause50])).
% 8.35/1.95 thf(zip_derived_cl822, plain, (((sk1) = (skaf46 @ sk1 @ nil))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl807, zip_derived_cl49])).
% 8.35/1.95 thf(zip_derived_cl4651, plain, (((app @ sk5 @ sk6) = (sk1))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl899, zip_derived_cl4628, zip_derived_cl822])).
% 8.35/1.95 thf(zip_derived_cl198, plain, (((app @ sk5 @ sk7) = (sk2))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl189])).
% 8.35/1.95 thf(zip_derived_cl142, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.35/1.95 (((app @ X1 @ X2) != (X0))
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X2)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (rearsegP @ X0 @ X2))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause143])).
% 8.35/1.95 thf(zip_derived_cl481, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (((sk2) != (X0))
% 8.35/1.95 | ~ (ssList @ sk5)
% 8.35/1.95 | ~ (ssList @ sk7)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (rearsegP @ X0 @ sk7))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl198, zip_derived_cl142])).
% 8.35/1.95 thf(zip_derived_cl193, plain, ( (ssList @ sk5)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl489, plain,
% 8.35/1.95 (![X0 : $i]: (((sk2) != (X0)) | ~ (ssList @ X0) | (rearsegP @ X0 @ sk7))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl481, zip_derived_cl193, zip_derived_cl195])).
% 8.35/1.95 thf(zip_derived_cl490, plain, (( (rearsegP @ sk2 @ sk7) | ~ (ssList @ sk2))),
% 8.35/1.95 inference('eq_res', [status(thm)], [zip_derived_cl489])).
% 8.35/1.95 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.35/1.95 thf(zip_derived_cl491, plain, ( (rearsegP @ sk2 @ sk7)),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl490, zip_derived_cl186])).
% 8.35/1.95 thf(zip_derived_cl130, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (~ (rearsegP @ X0 @ X1)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause131])).
% 8.35/1.95 thf(zip_derived_cl751, plain,
% 8.35/1.95 ((~ (ssList @ sk7)
% 8.35/1.95 | ~ (ssList @ sk2)
% 8.35/1.95 | ((app @ (skaf46 @ sk2 @ sk7) @ sk7) = (sk2)))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl491, zip_derived_cl130])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.35/1.95 thf(zip_derived_cl759, plain, (((app @ (skaf46 @ sk2 @ sk7) @ sk7) = (sk2))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl751, zip_derived_cl195, zip_derived_cl186])).
% 8.35/1.95 thf(zip_derived_cl198, plain, (((app @ sk5 @ sk7) = (sk2))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl189])).
% 8.35/1.95 thf(zip_derived_cl150, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.35/1.95 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 8.35/1.95 | ~ (ssList @ X2)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ((X2) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause151])).
% 8.35/1.95 thf(zip_derived_cl565, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (((sk2) != (app @ X0 @ sk7))
% 8.35/1.95 | ~ (ssList @ sk5)
% 8.35/1.95 | ~ (ssList @ sk7)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ((sk5) = (X0)))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl198, zip_derived_cl150])).
% 8.35/1.95 thf(zip_derived_cl193, plain, ( (ssList @ sk5)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl581, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (((sk2) != (app @ X0 @ sk7)) | ~ (ssList @ X0) | ((sk5) = (X0)))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl565, zip_derived_cl193, zip_derived_cl195])).
% 8.35/1.95 thf(zip_derived_cl1068, plain,
% 8.35/1.95 ((((sk2) != (sk2))
% 8.35/1.95 | ~ (ssList @ (skaf46 @ sk2 @ sk7))
% 8.35/1.95 | ((sk5) = (skaf46 @ sk2 @ sk7)))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl759, zip_derived_cl581])).
% 8.35/1.95 thf(zip_derived_cl49, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause50])).
% 8.35/1.95 thf(zip_derived_cl1083, plain,
% 8.35/1.95 ((((sk2) != (sk2)) | ((sk5) = (skaf46 @ sk2 @ sk7)))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl1068, zip_derived_cl49])).
% 8.35/1.95 thf(zip_derived_cl1084, plain, (((sk5) = (skaf46 @ sk2 @ sk7))),
% 8.35/1.95 inference('simplify', [status(thm)], [zip_derived_cl1083])).
% 8.35/1.95 thf(zip_derived_cl4628, plain, (((sk7) = (nil))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl4626, zip_derived_cl195, zip_derived_cl7])).
% 8.35/1.95 thf(zip_derived_cl57, plain,
% 8.35/1.95 (![X0 : $i]: (~ (ssList @ X0) | (rearsegP @ X0 @ nil))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause58])).
% 8.35/1.95 thf(zip_derived_cl491, plain, ( (rearsegP @ sk2 @ sk7)),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl490, zip_derived_cl186])).
% 8.35/1.95 thf(zip_derived_cl152, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.35/1.95 (~ (rearsegP @ X0 @ X1)
% 8.35/1.95 | ~ (rearsegP @ X1 @ X2)
% 8.35/1.95 | ~ (ssList @ X2)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (rearsegP @ X0 @ X2))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause153])).
% 8.35/1.95 thf(zip_derived_cl678, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (rearsegP @ sk7 @ X0)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ~ (ssList @ sk7)
% 8.35/1.95 | ~ (ssList @ sk2)
% 8.35/1.95 | (rearsegP @ sk2 @ X0))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl491, zip_derived_cl152])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.35/1.95 thf(zip_derived_cl684, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (rearsegP @ sk7 @ X0) | ~ (ssList @ X0) | (rearsegP @ sk2 @ X0))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl678, zip_derived_cl195, zip_derived_cl186])).
% 8.35/1.95 thf(zip_derived_cl719, plain,
% 8.35/1.95 ((~ (ssList @ sk7) | ~ (ssList @ nil) | (rearsegP @ sk2 @ nil))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl684])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.35/1.95 inference('cnf', [status(esa)], [clause8])).
% 8.35/1.95 thf(zip_derived_cl721, plain, ( (rearsegP @ sk2 @ nil)),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl719, zip_derived_cl195, zip_derived_cl7])).
% 8.35/1.95 thf(zip_derived_cl130, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (~ (rearsegP @ X0 @ X1)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause131])).
% 8.35/1.95 thf(zip_derived_cl750, plain,
% 8.35/1.95 ((~ (ssList @ nil)
% 8.35/1.95 | ~ (ssList @ sk2)
% 8.35/1.95 | ((app @ (skaf46 @ sk2 @ nil) @ nil) = (sk2)))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl721, zip_derived_cl130])).
% 8.35/1.95 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.35/1.95 inference('cnf', [status(esa)], [clause8])).
% 8.35/1.95 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.35/1.95 thf(zip_derived_cl758, plain, (((app @ (skaf46 @ sk2 @ nil) @ nil) = (sk2))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl750, zip_derived_cl7, zip_derived_cl186])).
% 8.35/1.95 thf(zip_derived_cl72, plain,
% 8.35/1.95 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause73])).
% 8.35/1.95 thf(zip_derived_cl1001, plain,
% 8.35/1.95 ((~ (ssList @ (skaf46 @ sk2 @ nil)) | ((sk2) = (skaf46 @ sk2 @ nil)))),
% 8.35/1.95 inference('s_sup+', [status(thm)], [zip_derived_cl758, zip_derived_cl72])).
% 8.35/1.95 thf(zip_derived_cl49, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause50])).
% 8.35/1.95 thf(zip_derived_cl1017, plain, (((sk2) = (skaf46 @ sk2 @ nil))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl1001, zip_derived_cl49])).
% 8.35/1.95 thf(zip_derived_cl4657, plain, (((sk5) = (sk2))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl1084, zip_derived_cl4628, zip_derived_cl1017])).
% 8.35/1.95 thf(zip_derived_cl4730, plain, (((app @ sk2 @ sk6) = (sk1))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl4651, zip_derived_cl4657])).
% 8.35/1.95 thf(clause60, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ nil ))).
% 8.35/1.95 thf(zip_derived_cl59, plain,
% 8.35/1.95 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ nil))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause60])).
% 8.35/1.95 thf(zip_derived_cl198, plain, (((app @ sk5 @ sk7) = (sk2))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl189])).
% 8.35/1.95 thf(clause137, axiom,
% 8.35/1.95 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) |
% 8.35/1.95 ( ~( ssList @ U ) ) | ( frontsegP @ ( app @ U @ W ) @ V ))).
% 8.35/1.95 thf(zip_derived_cl136, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.35/1.95 (~ (frontsegP @ X0 @ X1)
% 8.35/1.95 | ~ (ssList @ X2)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (frontsegP @ (app @ X0 @ X2) @ X1))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause137])).
% 8.35/1.95 thf(zip_derived_cl1177, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (frontsegP @ sk5 @ X0)
% 8.35/1.95 | ~ (ssList @ sk7)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ~ (ssList @ sk5)
% 8.35/1.95 | (frontsegP @ sk2 @ X0))),
% 8.35/1.95 inference('s_sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl136])).
% 8.35/1.95 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.35/1.95 thf(zip_derived_cl193, plain, ( (ssList @ sk5)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.35/1.95 thf(zip_derived_cl1194, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (frontsegP @ sk5 @ X0) | ~ (ssList @ X0) | (frontsegP @ sk2 @ X0))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl1177, zip_derived_cl195, zip_derived_cl193])).
% 8.35/1.95 thf(zip_derived_cl1708, plain,
% 8.35/1.95 ((~ (ssList @ sk5) | ~ (ssList @ nil) | (frontsegP @ sk2 @ nil))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl1194])).
% 8.35/1.95 thf(zip_derived_cl193, plain, ( (ssList @ sk5)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.35/1.95 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.35/1.95 inference('cnf', [status(esa)], [clause8])).
% 8.35/1.95 thf(zip_derived_cl1710, plain, ( (frontsegP @ sk2 @ nil)),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl1708, zip_derived_cl193, zip_derived_cl7])).
% 8.35/1.95 thf(clause132, axiom,
% 8.35/1.95 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 8.35/1.95 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 8.35/1.95 thf(zip_derived_cl131, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (~ (frontsegP @ X0 @ X1)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause132])).
% 8.35/1.95 thf(zip_derived_cl1712, plain,
% 8.35/1.95 ((~ (ssList @ nil)
% 8.35/1.95 | ~ (ssList @ sk2)
% 8.35/1.95 | ((app @ nil @ (skaf45 @ sk2 @ nil)) = (sk2)))),
% 8.35/1.95 inference('s_sup-', [status(thm)],
% 8.35/1.95 [zip_derived_cl1710, zip_derived_cl131])).
% 8.35/1.95 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.35/1.95 inference('cnf', [status(esa)], [clause8])).
% 8.35/1.95 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.35/1.95 thf(zip_derived_cl1716, plain,
% 8.35/1.95 (((app @ nil @ (skaf45 @ sk2 @ nil)) = (sk2))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl1712, zip_derived_cl7, zip_derived_cl186])).
% 8.35/1.95 thf(zip_derived_cl1716, plain,
% 8.35/1.95 (((app @ nil @ (skaf45 @ sk2 @ nil)) = (sk2))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl1712, zip_derived_cl7, zip_derived_cl186])).
% 8.35/1.95 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 8.35/1.95 thf(zip_derived_cl73, plain,
% 8.35/1.95 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause74])).
% 8.35/1.95 thf(zip_derived_cl1737, plain,
% 8.35/1.95 ((~ (ssList @ (skaf45 @ sk2 @ nil)) | ((sk2) = (skaf45 @ sk2 @ nil)))),
% 8.35/1.95 inference('s_sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl73])).
% 8.35/1.95 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 8.35/1.95 thf(zip_derived_cl50, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause51])).
% 8.35/1.95 thf(zip_derived_cl1760, plain, (((sk2) = (skaf45 @ sk2 @ nil))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl1737, zip_derived_cl50])).
% 8.35/1.95 thf(zip_derived_cl1764, plain, (((app @ nil @ sk2) = (sk2))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl1716, zip_derived_cl1760])).
% 8.35/1.95 thf(zip_derived_cl172, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.35/1.95 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 8.35/1.95 | ~ (ssList @ X3)
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X2)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ X2))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause173])).
% 8.35/1.95 thf(zip_derived_cl2888, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (((app @ sk2 @ X1) != (X0))
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ nil)
% 8.35/1.95 | ~ (ssList @ sk2)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ sk2))),
% 8.35/1.95 inference('s_sup-', [status(thm)],
% 8.35/1.95 [zip_derived_cl1764, zip_derived_cl172])).
% 8.35/1.95 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.35/1.95 inference('cnf', [status(esa)], [clause8])).
% 8.35/1.95 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.35/1.95 thf(zip_derived_cl2925, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (((app @ sk2 @ X1) != (X0))
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ sk2))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl2888, zip_derived_cl7, zip_derived_cl186])).
% 8.35/1.95 thf(zip_derived_cl4756, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (((sk1) != (X0))
% 8.35/1.95 | ~ (ssList @ sk6)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ sk2))),
% 8.35/1.95 inference('s_sup-', [status(thm)],
% 8.35/1.95 [zip_derived_cl4730, zip_derived_cl2925])).
% 8.35/1.95 thf(zip_derived_cl194, plain, ( (ssList @ sk6)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.35/1.95 thf(zip_derived_cl4782, plain,
% 8.35/1.95 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (segmentP @ X0 @ sk2))),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl4756, zip_derived_cl194])).
% 8.35/1.95 thf(zip_derived_cl5104, plain,
% 8.35/1.95 (( (segmentP @ sk1 @ sk2) | ~ (ssList @ sk1))),
% 8.35/1.95 inference('eq_res', [status(thm)], [zip_derived_cl4782])).
% 8.35/1.95 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.35/1.95 thf(zip_derived_cl5105, plain, ( (segmentP @ sk1 @ sk2)),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl5104, zip_derived_cl185])).
% 8.35/1.95 thf(zip_derived_cl192, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (segmentP @ sk1 @ X0)
% 8.35/1.95 | ~ (segmentP @ sk2 @ X0)
% 8.35/1.95 | ~ (neq @ X0 @ nil)
% 8.35/1.95 | ~ (ssList @ X0))),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.35/1.95 thf(zip_derived_cl5110, plain,
% 8.35/1.95 ((~ (segmentP @ sk2 @ sk2) | ~ (neq @ sk2 @ nil) | ~ (ssList @ sk2))),
% 8.35/1.95 inference('s_sup-', [status(thm)],
% 8.35/1.95 [zip_derived_cl5105, zip_derived_cl192])).
% 8.35/1.95 thf(zip_derived_cl72, plain,
% 8.35/1.95 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 8.35/1.95 inference('cnf', [status(esa)], [clause73])).
% 8.35/1.95 thf(zip_derived_cl2925, plain,
% 8.35/1.95 (![X0 : $i, X1 : $i]:
% 8.35/1.95 (((app @ sk2 @ X1) != (X0))
% 8.35/1.95 | ~ (ssList @ X1)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ sk2))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl2888, zip_derived_cl7, zip_derived_cl186])).
% 8.35/1.95 thf(zip_derived_cl4425, plain,
% 8.35/1.95 (![X0 : $i]:
% 8.35/1.95 (~ (ssList @ sk2)
% 8.35/1.95 | ((sk2) != (X0))
% 8.35/1.95 | ~ (ssList @ nil)
% 8.35/1.95 | ~ (ssList @ X0)
% 8.35/1.95 | (segmentP @ X0 @ sk2))),
% 8.35/1.95 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl2925])).
% 8.35/1.95 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.35/1.95 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.35/1.95 inference('cnf', [status(esa)], [clause8])).
% 8.35/1.95 thf(zip_derived_cl4428, plain,
% 8.35/1.95 (![X0 : $i]: (((sk2) != (X0)) | ~ (ssList @ X0) | (segmentP @ X0 @ sk2))),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl4425, zip_derived_cl186, zip_derived_cl7])).
% 8.35/1.95 thf(zip_derived_cl4430, plain,
% 8.35/1.95 (( (segmentP @ sk2 @ sk2) | ~ (ssList @ sk2))),
% 8.35/1.95 inference('eq_res', [status(thm)], [zip_derived_cl4428])).
% 8.35/1.95 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.35/1.95 thf(zip_derived_cl4431, plain, ( (segmentP @ sk2 @ sk2)),
% 8.35/1.95 inference('demod', [status(thm)], [zip_derived_cl4430, zip_derived_cl186])).
% 8.35/1.95 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 8.35/1.95 thf(zf_stmt_10, negated_conjecture, (neq @ sk2 @ nil),
% 8.35/1.95 inference('cnf.neg', [status(esa)], [co1_7])).
% 8.35/1.95 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_10])).
% 8.35/1.95 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.35/1.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.35/1.95 thf(zip_derived_cl5115, plain, ($false),
% 8.35/1.95 inference('demod', [status(thm)],
% 8.35/1.95 [zip_derived_cl5110, zip_derived_cl4431, zip_derived_cl191,
% 8.35/1.95 zip_derived_cl186])).
% 8.35/1.95
% 8.35/1.95 % SZS output end Refutation
% 8.35/1.95
% 8.35/1.95
% 8.35/1.95 % Terminating...
% 9.01/2.01 % Runner terminated.
% 9.01/2.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------